Patterns and Numbers in Nature and the World

Do you take time to enjoy what’s around you?

Have you ever thought about the basic rules that make the world work?

Do you think about how things are designed to make our lives better?

Do you see patterns in things? Can you give examples?

1. Which of the following is an example of a Fibonacci sequence in nature?

a) Leaves on a tree

b) Crystals forming in snowflakes

c) The spiral pattern of a sunflower

d) The arrangement of petals on a flower

2. Which mathematical concept is most closely related to symmetry in nature?

a) Fractions

b) Geometry

c) Probability

d) Algebra

3. Which pattern can be observed in honeycombs?

a) Circular pattern

b) Triangular pattern

c) Hexagonal pattern

d) Square pattern

4. What number sequence often appears in spiral patterns in seashells?

a) Prime numbers

b) Fibonacci sequence

c) Perfect squares

d) Odd numbers

5. Which of the following describes the "Golden Ratio" often seen in nature?

a) 1:2

b) 1:1.618

c) 2:3

d) 3:1

Population Growth Problem:

1.A=?, P=680,000, r=12%, t=8 years

2.The exponential growth model A=50e^0.07t describes the population of a city in the Philippines in thousands from year 1997.

a.What is the population after 20 years?

b.What is the population in year 2037.

1. Explain what is meant by symmetry in nature. Provide two examples.

2. What is fractal geometry, and how is it observed in nature? Provide one example.